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20212026
most citedRapid and Accurate Methods for Computing Whiskered Tori and their Manifolds in Periodically Perturbed Planar Circular Restricted 3-Body Problems

31 citations · 54 across the 6 of their papers we have counts for

collaborators

6 papers

astro-ph.EP2026

The Astrodynamics Primer on Cislunar and Translunar Space

Aaron J. Rosengren, Anjali Rawat, Bhanu Kumar +1

The Earth-Moon environment is multiscale and strongly nonuniform, yet it is often discussed as a single cislunar regime. In reality, circumterrestrial space is partitioned by chang…

astro-ph.EP2023

4th Body-Induced Secondary Resonance Overlapping Inside Unstable Resonant Orbit Families: a Jupiter-Ganymede 4:3 + Europa Case Study

Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave

The overlapping of mean-motion resonances is useful for low or zero-propellant space mission design, but while most related prior work uses a planar CRTBP model, tours of multi-moo…

math.DS2021★ 1 cited

Computation and Analysis of Jupiter-Europa and Jupiter-Ganymede Resonant Orbits in the Planar Concentric Circular Restricted 4-Body Problem

Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave +1

Many unstable periodic orbits of the planar circular restricted 3-body problem (PCRTBP) persist as invariant tori when a periodic forcing is added to the equations of motion. In th…

math.DS2021★ 22 cited

High-Order Resonant Orbit Manifold Expansions For Mission Design In the Planar Circular Restricted 3-Body Problem

Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave

In recent years, stable and unstable manifolds of invariant objects (such as libration points and periodic orbits) have been increasingly recognized as an efficient tool for design…

math.DS2021

Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems

Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave

When the planar circular restricted 3-body problem (PCRTBP) is periodically perturbed, as occurs in many useful astrodynamics models, most unstable periodic orbits persist as whisk…

math.DS2021★ 31 cited

Rapid and Accurate Methods for Computing Whiskered Tori and their Manifolds in Periodically Perturbed Planar Circular Restricted 3-Body Problems

Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave

When the planar circular restricted 3-body problem (RTBP) is periodically perturbed, families of unstable periodic orbits break up into whiskered tori, with most tori persisting in…